Solve each equation for principal values of x. Express solutions in degrees. cos x = 3 cos x – XXXXXXXXXXsin 2 x – 1 = 0 Solve each equation for 0°= x sec 2 x + tan x – 1 = 0 4. cos 2x + 3 cos x – 1 =...

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Answered Same DayDec 20, 2021

Answer To: Solve each equation for principal values of x. Express solutions in degrees. cos x = 3 cos x –...

David answered on Dec 20 2021
119 Votes
Solution 1:
2cos x 2
cos x 1
x 0
 
 
 
Solution 2:
2sin x 1/2
sinx 1/ 2
sinx si
n45
x 45


 
  
  
 
Solution 3:
21 tan x tanx 1 0
tanx(1 tanx) 0
tanx 0or tanx 1
x 0 ,135 ,180 ,315   
    
  
   
 

Solution 4:
2
2
2cos x 1 3cos x 1 0
2cos x 3cos x 2 0
(2cos x 1)(cos x 2) 0
As cos x 2
cos x 1/2
x 60 ,360...
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